scientific article; zbMATH DE number 1821271

zbMath1071.60004MaRDI QIDQ4779900

Si Si, Takeyuki Hida

Publication date: 29 October 2002

Full work available at URL: http://ebooks.worldscinet.com/ISBN/9789812565389/toc.shtml

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zbMATH Keywords

causalityGaussian white noisecanonical representationLévy processreversibilityinnovationPoisson white noisestochastic variational equationmultiple Markov propertyEuclidean free fieldinfinite-dimensional rotation groupTomogana-Schwinger equation

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Continuous-time Markov processes on general state spaces (60J25) Generalized stochastic processes (60G20) White noise theory (60H40) General quantum mechanics and problems of quantization (81S99) General mathematical topics and methods in quantum theory (81Q99) Stochastic calculus of variations and the Malliavin calculus (60H07) Random measures (60G57) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Stochastic integral equations (60H20) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

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38 Years with Professor Ludwig Streit ⋮ On the Besov regularity of periodic Lévy noises ⋮ The scaling limit of the \((\nabla +\Delta)\)-model ⋮ The scaling limit of the membrane model ⋮ Multidimensional Lévy white noise in weighted Besov spaces ⋮ On the characteristics of a class of Gaussian processes within the white noise space setting ⋮ The domain of definition of the Lévy white noise ⋮ Stochastic calculus with respect to Gaussian processes

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